Question

2 men and 5 women can together finish a piece of work in 4 days, while 3 men and 6 women can finish it in 3 days. Find the time taken by 1 man alone to finish the work, and also that taken by 1 woman alone

Answer 1

According to the question,

4(2y + 5x) = 1 xy

8y + 20x = xy...(1)

3(3y + 6x) = xy

9y + 18x = xy...(2)

8 36 + 20x = 36x

begin mathsize 12px style 288 over 16 end style= x

x = 18

One woman takes 18 days and one man takes 36 days to finish the work.